Some users are reporting a persistent password popup in their mail application this morning, this is due to Microsoft changing the Microsoft/Office 365 authentication method and requiring 'modern authentication' by default.
If you are using Outlook 2013 this can easily be solved by changing\adding a Registry setting in Windows which is normal and 'IT support level' change:
(more details here https://learn.microsoft.com/en-gb/microsoft-365/enterprise/modern-auth-for-office-2013-and-2016?view=o365-worldwide)
This can also be easily pushed out by 'group policy' if you have a Windows domain.
If you're seeing this in another mail app for example on your phone this will require further investigation and planning.
Here is some further reading on the subject:
https://techcommunity.microsoft.com/t5/exchange-team-blog/basic-authentication-deprecation-in-exchange-online-september/ba-p/3609437